Unramified degree three invariants of reductive groups

被引：9
|
作者：
Merkurjev, A. [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
ADVANCES IN MATHEMATICS | 2016年 / 293卷
关键词：
Reductive algebraic group; Classifying space; Unramified cohomology; COHOMOLOGICAL INVARIANTS; CLASSIFYING VARIETIES; BRAUER GROUP;
D O I：
10.1016/j.aim.2016.02.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that if G is a reductive group over an algebraically closed field F, then for a prime integer p not equal char(F), the group of unramified Galois cohomology H-nr(3)(F(BG),Q(p)/Z(p) (2)) is trivial for the classifying space BG of G if p is odd or the commutator subgroup of G is simple. (C) 2016 Elsevier Inc. All rights reserved.
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页码：697 / 719
页数：23
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